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Titlebook: Microlocal Analysis and Spectral Theory; Luigi Rodino Book 1997 Springer Science+Business Media Dordrecht 1997 Boundary value problem.Micr

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发表于 2025-3-21 18:58:27 | 显示全部楼层 |阅读模式
书目名称Microlocal Analysis and Spectral Theory
编辑Luigi Rodino
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Microlocal Analysis and Spectral Theory;  Luigi Rodino Book 1997 Springer Science+Business Media Dordrecht 1997 Boundary value problem.Micr
描述The NATO Advanced Study Institute "Microlocal Analysis and Spectral The­ ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa­ tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin­ ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math­ ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics.
出版日期Book 1997
关键词Boundary value problem; Microlocal analysis; distribution; manifold; partial differential equation; quant
版次1
doihttps://doi.org/10.1007/978-94-011-5626-4
isbn_softcover978-94-010-6371-5
isbn_ebook978-94-011-5626-4Series ISSN 1389-2185
issn_series 1389-2185
copyrightSpringer Science+Business Media Dordrecht 1997
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A Trace Formula and Review of Some Estimates for Resonances, have a natural opportunity to review that method. We also review some lower bounds and some upper bounds on the density of resonances near the real axis, mainly following joint works with M.Zworski. The lower bounds however, are new in the case of even dimensions and form a first application of the new trace formula.
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Book 1997 Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier techniq
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Boundary Value Problems and Edge Pseudo-Differential Operators,kernel asymptotics. For interesting classes of singular or non-compact manifolds, essential problems like adequate operator algebras with symbolic structures, the definition of ellipticity, and index theory, are unsolved.
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Splitting in Large Dimension and Infrared Estimates, recent contributions of Pastur, Khoruzhenko, Barbulyak, Kondratev which treat in general more sophisticated models. We shall show how the recent semi-classical analysis permits sometimes to state more precise results.
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Parametrized Pseudodifferential Operators and Geometric Invariants,cylinder leads to precise formulas for heat trace expansions and zeta function pole structure. Finally, Chapter 5 treats the APS problem in the non-product case where the weakly polyhomogeneous .do calculus is used to get asymptotic trace expansions generalizing those in the product case.
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978-94-010-6371-5Springer Science+Business Media Dordrecht 1997
发表于 2025-3-23 09:31:14 | 显示全部楼层
Microlocal Analysis and Spectral Theory978-94-011-5626-4Series ISSN 1389-2185
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